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Related Questions
A family pays $45 each month for cable television. The cost increases 7%.
a. How many dollars is the increase?
b. What is the new monthly cost?SHO
W YOUR WORK
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Hope this helped
Choose the fraction that goes in the blank. six over ten >_______> one over two A one over two B one over four C two over three D three over four
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To determine which fraction is greater, we convert both fractions to decimal form. Six over ten is greater than one over two.
Explanation:To determine which fraction is greater, six over ten or one over two, we can convert both fractions to decimal form and compare them. Six over ten can be simplified to three over five, which is equal to 0.6. One over two is equal to 0.5. Since 0.6 is greater than 0.5, we can conclude that six over ten is greater than one over two.
which pair of fractions is equivalent to this pair : 3/5 and 2/7
a. 21/35 & 10/35
b. 10/35 & 7/35
c. 7/35. & 5/35
d. 24/35 & 12/35
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Hope this helps!
3/5(7/7) = 21/35
2/7(5/5) = 10/35
A.21/35 and 10/35
Hope this helps!
Greg drank 5 cups of water on Monday. He drank 4 cups of water on Tuesday. How many 1/4 cup servings of water did Greg drink on Monday and Tuesday combined?
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complete the solution of the equation. find the value of y when x equals 15.
-x+2y=-1
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-15 + 2y = -1
2y = -1 + 15
2y = 14
y = 14/2
y = 7 <==
the graph of y=x^2 is shifted 4 units to the right, vertically stretched by a factor of 6, reflected over the x axis and shifted 7 units downward
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y = 6(-x-4)^2 -7
Answer:y=-6Vx-7
Step-by-step explanation:
in triangle ABC, L is the midpoint of BC, M is the midpoint of AB and N is the midpoint of AC. If MN=8, ML 5 and NL=6, the perimeter of BMNC is?
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Sarah's craft project uses pieces of yarn that are 1/8 long. She has a piece of yarn that is 3 yards long. How many 1/8 yard pieces can she cut and still have 1 1/4 yards left?
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[tex]\bf 1\frac{1}{4}\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4}\\\\ -------------------------------\\\\ 3-1\frac{1}{4}\implies 3-\cfrac{5}{4}\impliedby \textit{LCD of 4}\implies \cfrac{(4\cdot 3)-5}{4}\implies \cfrac{7}{4} \\\\\\ \textit{now, how many times does }\frac{1}{8}\textit{ go into }\frac{7}{4}?\implies \cfrac{\quad \frac{7}{4}\quad }{\frac{1}{8}}\implies \cfrac{7}{4}\cdot \cfrac{8}{1} \\\\\\ \cfrac{56}{4}\implies 14[/tex]
Simplify (25x2 − 14xy + 4) − (7x2 − 9y) + (2xy + 7)
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Answer:
18x2 − 12xy + 9y + 11
Step-by-step explanation:
Calc find the maximum of f(x, y) = y2 + xy â x2 on the square 0 ⤠x ⤠6, 0 ⤠y ⤠6.
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[tex]\begin{cases}f_x=y-2x=0\\f_y=2y+x=0\end{cases}[/tex]
[tex]y=2x\implies 2y+x=4x+x=0\implies x=0\implies y=0[/tex]
so on this region, [tex]f(x,y)[/tex] has only one critical point at (0, 0)[/tex]. Since this point lies on the boundary, we can ignore it for the moment.
Along the boundaries, we have four scenarios to consider:
[tex]x=0\implies f(0,y)=y^2[/tex]
[tex]x=6\implies f(6,y)=y^2+6y-36=(y+3)^2-45[/tex]
[tex]y=0\implies f(x,0)=-x^2[/tex]
[tex]y=6\implies f(x,6)=36+6x-x^2=-(x^2-6x-36)=45-(x-3)^2[/tex]
In the first case, [tex]y^2[/tex] is increasing over [tex]0\le y\le6[/tex], so we'll attain when [tex]y=6[/tex] a value of [tex]f(0,6)=36[/tex].
In the second case, [tex](y+3)^2-45[/tex] attains a minimum when [tex]y=-3[/tex], and would be increasing to either side. This would mean at [tex]y=6[/tex] we get [tex]f(6,6)=36[/tex].
In the third case, [tex]-x^2[/tex] attains a max at [tex]x=0[/tex], which would yield [tex]f(0,0)=0[/tex].
In the fourth case, [tex]45-(x-3)^2[/tex] attains a max at [tex]x=3[/tex], giving a value of [tex]f(3,6)=45[/tex].
This means the absolute maximum of [tex]f(x,y)[/tex] over the square is attained along the boundary [tex]y=6[/tex] when [tex]x=3[/tex], with a maximum value of [tex]f(3,6)=45[/tex].
To find the maximum of the function f(x, y) = y² + xy – x² on the square 0 ≤ x ≤ 6, 0 ≤ y ≤ 6, we need to find the critical points by taking the partial derivatives with respect to x and y.
To find the maximum of the function f(x, y), we need to find the critical points by taking the partial derivatives with respect to x and y:
[tex]f_x[/tex] = y - 2x
[tex]f_y[/tex] = 2y + x
Setting these derivatives equal to zero and solving for x and y, we get the critical point (2,2). To determine if this point is a maximum, minimum, or point of inflection, we can use the second derivative test. Taking the second partial derivatives:
[tex]f_{xx[/tex] = -2, [tex]f_{yy[/tex] = 2, [tex]f_{xy[/tex] = 1
Using the discriminant D = [tex]f_{xx} \times f_{yy} - {(f_{xy})}^2[/tex], we have D = [tex](-2) \times 2 - {1}^2[/tex] = -4. Since D is negative, the critical point (2,2) is a saddle point, which means there is no maximum or minimum on the given square.
Kate has a serving account that contains $230. She decides to deposit $5 each month from her monthly earnings for baby-sitting after school. Write an expression to find how much money Mata will have in her savings account after x months. Let x represent the number of months. Then find out how much she will have in her account after 1 year
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Expanded form for 4082
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your so welcome.
Which are factors of x2 – 4x – 5? Check all that apply. (x – 5) (x – 4) (x – 2) (x + 1) (x + 5)
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cause
(x - 5)(x + 1) = x^2 -5x +x - 5= x^2 -4x - 5
so (x - 5) and (x + 1) are factors
answer
(x - 5) and (x + 1)
x -5
x 1
(x-5)(x+1) is your answer
none of the others work, because they wont give you the desired number in the middle, -4x
hope this helps
What is the sign of-5×-1/-2
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Multiply -5 by -1
The answer would be -5/2
x+2y=8 in slope intercept form
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x+2y=8 Subtract the x.
2y=8-x Divide by two.
y=4-1/2x
[tex]x+2y=8[/tex] can be written in a slope-intercept form as [tex]y = 4-\dfrac{x}{2}[/tex].
SlopeA slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
Given to us,[tex]x+2y=8[/tex]
To find the slope-intercept formTo find the function, simply isolate y.
[tex]x+2y=8\\2y = 8-x\\y = \dfrac{8-x}{2}\\\\y = \dfrac{8}{2}-\dfrac{x}{2}\\\\y = 4-\dfrac{x}{2}[/tex]
Hence, [tex]x+2y=8[/tex] can be written in a slope-intercept form as [tex]y = 4-\dfrac{x}{2}[/tex].
Learn more about Graph and slope:
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Which theorist is associated with the idea that information not actively attended to is not lost; rather, it simply decreases in signal strength and is therefore not given any significance or future attention?
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Final answer:
Anne Treisman is associated with the Attenuation Model, which posits that unattended information is not lost but simply weakened. This model contrasts with filter theories, emphasizing that meaningful information can penetrate the attention barrier for further processing.
Explanation:
The theorist associated with the idea that information not actively attended to is not lost but rather decreases in signal strength and is therefore not given any significance or future attention is Anne Treisman. Treisman proposed the Attenuation Model, which challenges the filter theory, suggesting that selection of information begins at the physical or perceptual level. However, unlike the filter theory that assumes unattended information is completely blocked, Treisman believes that unattended information is just weakened or attenuated. This means that any highly meaningful or pertinent information, such as one's own name, can still get through the filter for further processing at the level of meaning.
Supporting this model, late selection models like that of Deutsch and Deutsch also propose that all information is processed on the basis of meaning, but only task-relevant information reaches conscious awareness. This concept is in line with the idea of subliminal perception where unconscious information can be fully processed for meaning.
Therefore, the attenuation model and late selection models suggest that our attention selects information but does not completely eliminate the processing of unattended stimuli, particularly if the unattended information holds some form of intrinsic importance or meaning to the individual.
You order an entree for $12. You pay 0.78 in taxes. What is the tax rate
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what is 139.47 rounded to the nearest tenth?
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X/2-18=(-28)
What is x?
X=?
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Step 1: Write the division as a fraction
x ÷ 2 - 18 --> x/2 - 18
Step 2: Multiply both sides of the equation by 2
x - 36 = -56
Step 3: Move contact to the right side and change its sign
x = -56 +36
Step 4: Solve
x = -20
Find the cost per pound of a "house blend" of coffee that is made from 20 lb of Central American coffee that costs $7 per pound and 30 lb of South American coffee that costs $4.50 per pound
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What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3 ?
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point-slope form- y + 7 = -2/3(x - 1)
Suppose that f(t)f(t) is continuous and twice-differentiable for t≥0t≥0. further suppose f′′(t)≤3f″(t)≤3 for all t≥0t≥0 and f(0)=f′(0)=0f(0)=f′(0)=0. using the racetrack principle, what linear function g(t)g(t) can we prove is greater than or equal to f′(t)f′(t) (for t≥0t≥0)?
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(x) is continuous and twice differentiable for ±≥ 0. Suppose f”( ±) ≤ 5 for all ±≥ 0 and f (0) = f’(0) = 0. The linear function with a derivation of 0 is y = 0. Thus we have g(t) = 0. The quadratic function with concavity 5 and initial slope 0 is y = 5/2 x^2 + 0x. Therefore, h(t) = (5/2)x^2
Given the conditions, the function g(t)=3t is always greater than or equal to f'(t), as it represents the maximum possible velocity considering the maximum constant acceleration of 3 over time.
Explanation:Given that f(t) is a continuous and twice-differentiable function for t≥0 and that f''(t)≤3 for all t≥0, the function f(t) represents the position of an object over time, with f'(t) and f''(t) being the velocity and acceleration, respectively. Further, given that f(0)=f'(0)=0, it is stated that at time t=0, the object is at the origin and is at rest.
Using the Racetrack Principle, we know that velocity must be less than or equal to the maximum acceleration times time. In plain terms, the actual speed of a body at a time 't' (f'(t)) could not be more than the distance it would have covered if it was accelerating at the maximum possible rate from rest. Since f''(t)≤3, the maximum possible acceleration is 3.
Thus, for all t≥0, if we consider the linear function g(t)=3t, we can say g(t) is greater than or equal to f'(t). Because even if the acceleration was at the maximum value of 3 for the entire duration, the velocity wouldn't exceed 3t.
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What Is two thirds of a straight angle
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so 2/3 of a straight angle is 2/3 of 180..." of " means multiply
2/3(180) = 360/3 = 120 <==
Two thirds of a straight angle is calculated as 120 degrees.
Two thirds of a straight angle can be calculated by first understanding that a straight angle is equal to 180 degrees. When we want to find a fraction of a given angle, we multiply the fraction by the total degree measure of that angle.
In this case, to find two thirds of a straight angle, we multiply 180 degrees by 2/3.
Here is a step-by-step explanation of the calculation:
Understand that a straight angle equals 180 degrees.
Multiply 180 degrees by the fraction 2/3:
(180 degrees) * (2/3) = 120 degrees.
A certain vibrating system satisfies the equation u′′ + γu′ + u = 0. find the value of the damping coefficient γ for which the quasi period of the damped motion is 50% greater than the period of the corresponding undamped motion.
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To extend the Sieve of Eratosthenes to 200, what is the largest prime whose multiples would have to be considered?
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For example, if checking 169, whose squre-root is 13. There will be NO prime factors below 13 (1 is not a prime). So check for all prime factors up to and including the largest prime equal to or less than sqrt(n).
Therefore, the largest prime whose multiples need to be considered to extend the Sieve of Eratosthenes to 200 is 13.
The Sieve of Eratosthenes is a method used to find all prime numbers up to a given limit by iteratively marking the multiples of each prime number. To extend the Sieve of Eratosthenes to 200, determine the largest prime whose multiples need to be considered.
Begin by creating a list of numbers from 2 to 200. Mark 2 as the first prime number. Proceed to eliminate all multiples of 2 from the list (4, 6, 8, ...).
Move to the next unmarked number, which is 3. Mark it as a prime and eliminate all its multiples from the list (6, 9, 12, ...).
Continue this process for each unmarked number: marking it as a prime and eliminating its multiples. The next unmarked number after 3 is 5.
Continue this process until you reach the square root of the upper limit, which is √200 ≈ 14.14. Therefore, the largest prime whose multiples need to be considered to extend the Sieve of Eratosthenes to 200 is 13. Multiples of primes greater than 13 that fall below 200 have already been eliminated during the sieving process.
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The table below represents the displacement of a bird from its nest as a function of time: Time (hours) x Displacement from nest (miles) y 0 12 1 20 2 28 3 36 4 44 Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)
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Part B: Find the average rate of change: 36 - 20/2 = 16/2 = 8 mph
This tells us that the bird can travel long distances.
Part C: 172 - 12 = 160 miles at a rate of 8 mph
160 mi ÷ 8mph = 20 hrs
Domain of function = 0 ≤ x ≤ 20
A campground has cabins that can each hold 28 campers. There are 148 campers that are visiting the campground. How many cabins are full if there are 28 campers in each cabin? Please help i'm desperate and i'm marking most brainliest.
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To find the number of full cabins, divide the total number of campers by the number of campers in each cabin. Round the answer up to the nearest whole number.
Explanation:To find the number of full cabins, you can divide the total number of campers by the number of campers in each cabin.
148 campers / 28 campers per cabin = 5.2857 cabins
Since we can't have fractional cabins, we round up to the nearest whole number, which is 6.
Therefore, there are that are full.
Final answer:
There are 6 cabins that are full.
Explanation:
To find the number of cabins that are full, we need to divide the total number of campers by the number of campers each cabin can hold. In this case, there are 148 campers and each cabin can hold 28 campers.
We can solve this problem by dividing 148 by 28: 148 ÷ 28 = 5.2857.
Since we cannot have a fraction of a cabin, we round up to the nearest whole number. Therefore, there are 6 cabins that are full.
What reason explains why (-6,8) must also be a point on the graph?
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The first three values in a selected series are 3, 6, and 9. what are the next three va;ies that will be inserted by autofill?
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Answer:
the answer is 12, 15. and 18.
Step-by-step explanation:
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 - 20
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Apply a displacement or translation of -20 units in the y direction to obtain
f(x) = x² - 20
Answer:
Apply a translation of - 20 in y.